Wetzel                                                                                                             

Math 110

Test #3

Please turn off and put away all cell phones!!

Please circle your final answers.

1.)  Find the inverse function of .  If  does not exist, state “Does not exist.”

2.)  Write the equation,  in exponential form.

3.)  Write the equation,  in logarithmic form.

4.)  Expand the given logarithmic expression.  Assume all variable expressions represent positive real numbers. 

5.)  Write the given expression as a single logarithm with a coefficient of 1.  Assume all variable expressions represent positive real numbers. 

6.)  Evaluate the following logarithm rounding to four decimal places.

7.)  Solve the following equations.  Round to four decimal places.

            a.)                                                       b.) 

            c.)                             d.) 

            e.) 

8.)  Find the balance after 25 years if $25,000 is invested at 8% compounded:

            a.)  continuously                                                b.)  monthly

9.)  You pay $25,000 for a car that depreciates 25% annually.  How much is the car worth after 4 years?